Abstract
We consider the quantum superposition of two coherent statesshifted in phase by 3π/2, |α⟩ and|−iα⟩, as well as special states that are characterizedsolely with respect to amplitude α. According to analysisof nonclassical properties such as oscillatory and sub-Poissoniandistribution of photon numbers, photon antibunching, quadraturesqueezing, and negativity of Wigner function, it is concluded that theconsidered superposition state is a nonclassical state. Also, thespecial state is found to exhibit even stronger nonclassicalfeatures when relative phase ϕ of the superposition is equalto the average photon number |α|2.
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